Tool to list the possible positions of a cube. A die is a cube with 6 differentiated faces, it can be defined by its visible faces so as to know its possible orientations / rotations.
Cube Rotation - dCode
Tag(s) : Fun/Miscellaneous
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
Cube Rotation
Dice Rotations
Answers to Questions (FAQ)
How to list all rotations of the cube?
Place the cube on one side and orient it according to the 4 directions. Move to the next position (other side) and so on to get all rotations.
Example:
| - | 1 | - |
| 5 | 4 | 2 |
| - | 6 | - |
| - | 3 | - |
How to count all possible rotations of a cube?
The die can fall on one of the 6 faces possible and be oriented according to 4 angles, or 24 possibilities. $$ 6 \times 4 = 24 $$
Mathematically, how rotations of a cube are defined?
There are 4 types of rotation of a dice:
— Rotation according to the diagonals
— Rotation along the axis connecting the centers of 2 opposite faces
— Rotation along the axis connecting the centers of 2 opposite edges
— Identity rotation (original stationary state)
How to count all possible symmetries of a cube?
A cube whose faces are undifferentiated with 13 axes of symmetries:
— 3 axes pass through the centers of the faces, a cube has 6 faces, so 3 axes
— 6 axes pass through the centers of the opposite edges, a cube has 12 edges, so 6 axes
— 4 axes go through the opposite corners, a cube has 8 angles, so 4 axes
Source code
dCode retains ownership of the "Cube Rotation" source code. Any algorithm for the "Cube Rotation" algorithm, applet or snippet or script (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or any "Cube Rotation" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) or any database download or API access for "Cube Rotation" or any other element are not public (except explicit open source licence). Same with the download for offline use on PC, mobile, tablet, iPhone or Android app.
Reminder: dCode is an educational and teaching resource, accessible online for free and for everyone.
Cite dCode
The content of the page "Cube Rotation" and its results may be freely copied and reused, including for commercial purposes, provided that dCode.fr is cited as the source (Creative Commons CC-BY free distribution license).
Exporting the results is free and can be done simply by clicking on the export icons ⤓ (.csv or .txt format) or ⧉ (copy and paste).
To cite dCode.fr on another website, use the link:
In a scientific article or book, the recommended bibliographic citation is: Cube Rotation on dCode.fr [online website], retrieved on 2025-06-18,
